因式分解x^4-6x^2y^2+y^4

2025-01-07 00:37:05
推荐回答(5个)
回答1:

原式=(x^4-2x^2y^2+y^4)-4x^2y^2
=(x^2-y^2)^2-(2xy)^2
=(x^2+2xy-y^2)(x^2-2xy-y^2)

回答2:

x^4-6x^2y^2+y^4
=(x^4-2x^2y^2+y^4) -4x^2y^2
=(x^2-y^2)^2-4x^2y^2
=(x^2-y^2+2xy)(x^2-y^2-2xy)

回答3:

x^4-6x^2y^2+y^4=(x²-y²)²-(2xy)²=(x²-y²+2xy)(x²-y²-2xy)

回答4:

(x^2-y^2+2xy)(x^2-y^2-2xy)

回答5:

16x^4-6x^2y^2+y^4呢?